Question

The vertex of this parabola is at (-5, -2). When the x-value is -4, they-value is 2. What is the coefficient of the squared expression in the parabola's equation?

Answer 1

K, so
vertex i (-5,-2)
neat

vertex form
y=a(x-h)²+k
vertex is (h,k)
a is the coefieint of the squred term in the parbola's equestion
so
given vertex of (-5,-2)

y=a(x-(-5))²+(-2)
y=a(x+5)²-2
a point si (-4,2)
sub that point
2=a(-4+5)²-2
2=a(1)²-2
2=a-2
add 2
4=a

the value of the coefieint of the squred expression part is 4